242624509760 has 112 divisors (see below), whose sum is σ = 609915407040. Its totient is φ = 91676160000.

The previous prime is 242624509753. The next prime is 242624509789. The reversal of 242624509760 is 67905426242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2052260 + ... + 2167260.

Almost surely, 2^242624509760 is an apocalyptic number.

242624509760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242624509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304957703520).

242624509760 is an abundant number, since it is smaller than the sum of its proper divisors (367290897280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242624509760 is a wasteful number, since it uses less digits than its factorization.

242624509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115384 (or 115374 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 242624509760 in words is "two hundred forty-two billion, six hundred twenty-four million, five hundred nine thousand, seven hundred sixty".